34930396800
34,930,396,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 34930396800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
34930396800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34930396800:
27 × 33 × 52 × 13 × 137 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 137 × 227)See below for interesting mathematical facts about the number 34930396800 from the Numbermatics database.
Names of 34930396800
- Cardinal: 34930396800 can be written as Thirty-four billion, nine hundred thirty million, three hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 3.49303968 × 1010
Factors of 34930396800
Divisors of 34930396800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 128 130 135 137 144 150 156 160 180 192 195 200 208 216 225 227 234 240 260 270 274 288 300 312 320 325 351 360 384 390 400 411 416 432 450 454 468 480 520 540 548 576 585 600 624 640 650 675 681 685 702 720 780 800 822 832 864 900 908 936 960 975 1040 1080 1096 1135 1152 1170 1200 1233 1248 1300 1350 1362 1370 1404 1440 1560 1600 1644 1664 1728 1755 1781 1800 1816 1872 1920 1950 2043 2055 2080 2160 2192 2270 2340 2400 2466 2496 2600 2700 2724 2740 2808 2880 2925 2951 3120 3200 3288 3405 3425 3456 3510 3562 3600 3632 3699 3744 3900 4086 4110 4160 4320 4384 4540 4680 4800 4932 4992 5200 5343 5400 5448 5480 5616 5675 5760 5850 5902 6129 6165 6240 6576 6810 6850 7020 7124 7200 7264 7398 7488 7800 8172 8220 8320 8640 8768 8775 8853 8905 9080 9360 9600 9864 10215 10275 10400 10686 10800 10896 10960 11232 11350 11700 11804 12258 12330 12480 13152 13620 13700 14040 14248 14400 14528 14755 14796 14976 15600 16029 16344 16440 17025 17280 17536 17550 17706 17810 18160 18495 18720 19728 20430 20550 20800 21372 21600 21792 21920 22464 22700 23400 23608 24516 24660 24960 26304 26559 26715 27240 27400 28080 28496 28800 29056 29510 29592 30645 30825 31099 31200 32058 32688 32880 34050 35100 35412 35620 36320 36990 37440 39456 40860 41100 41600 42744 43200 43584 43840 44265 44525 44928 45400 46800 47216 48087 49032 49320 51075 52608 53118 53430 54480 54800 56160 56992 59020 59184 61290 61650 62198 62400 64116 65376 65760 68100 70200 70824 71240 72640 73775 73980 74880 78912 79677 80145 81720 82200 85488 86400 87168 87680 88530 89050 90800 92475 93297 93600 94432 96174 98064 98640 102150 106236 106860 108960 109600 112320 113984 118040 118368 122580 123300 124396 124800 128232 130752 131520 132795 133575 136200 140400 141648 142480 145280 147550 147960 153225 155495 157824 159354 160290 163440 164400 170976 177060 178100 181600 184950 186594 187200 188864 192348 196128 197280 204300 212472 213720 217920 219200 221325 224640 227968 236080 236736 240435 245160 246600 248792 256464 261504 263040 265590 267150 272400 279891 280800 283296 284960 295100 295920 306450 310990 318708 320580 326880 328800 341952 354120 356200 363200 369900 373188 374400 377728 384696 392256 394560 398385 400725 404287 408600 424944 427440 435840 438400 442650 466485 472160 473472 480870 490320 493200 497584 512928 531180 534300 544800 559782 561600 566592 569920 590200 591840 612900 621980 637416 641160 653760 657600 663975 683904 708240 712400 726400 739800 746376 769392 777475 784512 789120 796770 801450 808574 817200 839673 849888 854880 885300 932970 944320 961740 980640 986400 995168 1025856 1062360 1068600 1089600 1119564 1123200 1133184 1139840 1180400 1183680 1202175 1212861 1225800 1243960 1274832 1282320 1307520 1315200 1327950 1399455 1416480 1424800 1479600 1492752 1538784 1554950 1593540 1602900 1617148 1634400 1679346 1699776 1709760 1770600 1865940 1888640 1923480 1961280 1972800 1990336 1991925 2021435 2051712 2124720 2137200 2179200 2239128 2332425 2360800 2367360 2404350 2425722 2451600 2487920 2549664 2564640 2655900 2798910 2832960 2849600 2959200 2985504 3077568 3109900 3187080 3205800 3234296 3268800 3358692 3399552 3419520 3541200 3638583 3731880 3846960 3922560 3945600 3980672 3983850 4042870 4198365 4249440 4274400 4478256 4664850 4721600 4808700 4851444 4903200 4975840 5099328 5129280 5311800 5597820 5665920 5699200 5918400 5971008 6064305 6155136 6219800 6374160 6411600 6468592 6537600 6717384 6997275 7082400 7277166 7463760 7693920 7967700 8085740 8396730 8498880 8548800 8956512 9329700 9443200 9617400 9702888 9806400 9951680 10107175 10198656 10258560 10623600 10915749 11195640 11836800 11942016 12128610 12439600 12748320 12823200 12937184 13434768 13994550 14164800 14554332 14927520 15387840 15935400 16171480 16793460 16997760 17097600 17913024 18192915 18659400 19234800 19405776 19612800 19903360 20214350 20991825 21247200 21831498 22391280 24257220 24879200 25496640 25646400 25874368 26869536 27989100 28329600 29108664 29855040 30321525 30775680 31870800 32342960 33586920 35826048 36385830 37318800 38469600 38811552 40428700 41983650 42494400 43662996 44782560 48514440 49758400 50993280 51292800 51748736 53739072 54578745 55978200 58217328 59710080 60643050 63741600 64685920 67173840 72771660 74637600 76939200 77623104 80857400 83967300 84988800 87325992 89565120 90964575 97028880 99516800 107478144 109157490 111956400 116434656 121286100 127483200 129371840 134347680 145543320 149275200 153878400 155246208 161714800 167934600 174651984 179130240 181929150 194057760 218314980 223912800 232869312 242572200 254966400 258743680 268695360 272893725 291086640 298550400 323429600 335869200 349303968 363858300 388115520 436629960 447825600 465738624 485144400 537390720 545787450 582173280 646859200 671738400 698607936 727716600 776231040 873259920 895651200 970288800 1091574900 1164346560 1293718400 1343476800 1397215872 1455433200 1746519840 1940577600 2183149800 2328693120 2686953600 2910866400 3493039680 3881155200 4366299600 5821732800 6986079360 8732599200 11643465600 17465198400 34930396800
- Sum of all divisors σ(n): 139284835200
- Sum of proper divisors (its aliquot sum) s(n): 104354438400
- 34930396800 is an abundant number, because the sum of its proper divisors (104354438400) is greater than itself. Its abundance is 69424041600
Bases of 34930396800
- Binary: 1000001000100000001110001110100000002
- Hexadecimal: 0x822038E80
- Base-36: G1ONMO0
Squares and roots of 34930396800
- 34930396800 squared (349303968002) is 1220132620605450240000
- 34930396800 cubed (349303968003) is 42619716586372233125855232000000
-
The
square root of 34930396800 is 186896.7543859443 -
The
cube root of 34930396800 is 3268.8965218683
Scales and comparisons
How big is 34930396800?- 34,930,396,800 seconds is equal to 1,110 years, 35 weeks, 2 days.
-
To count from 1 to 34,930,396,800 would take you about two thousand, two hundred twenty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 34930396800 cubic inches would be around 272.4 feet tall.
Recreational maths with 34930396800
- 34930396800 backwards is 00869303943
- 34930396800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34930396800's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 34930396800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
APA style:
Numbermatics. (2024). Number 34930396800 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/34930396800/
Chicago style:
Numbermatics. 2024. "Number 34930396800 - Facts about the integer". https://numbermatics.com/n/34930396800/
The information we have on file for 34930396800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 34930396800, math, Factors of 34930396800, curriculum, school, college, exams, university, Prime factorization of 34930396800, STEM, science, technology, engineering, physics, economics, calculator, thirty-four billion, nine hundred thirty million, three hundred ninety-six thousand, eight hundred.